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Determining Fresnel reflection coefficients in 3D half‐space geometry by GPR multistatic data
Author(s) -
Solimene Raffaele,
D’Alterio Antonietta,
Soldovieri Francesco
Publication year - 2011
Publication title -
near surface geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.639
H-Index - 39
eISSN - 1873-0604
pISSN - 1569-4445
DOI - 10.3997/1873-0604.2011001
Subject(s) - fresnel equations , reflection (computer programming) , inverse problem , reflection coefficient , scalar (mathematics) , fresnel zone , mathematical analysis , ground penetrating radar , cartesian coordinate system , mathematics , geometry , optics , physics , computer science , radar , telecommunications , diffraction , refractive index , programming language
This paper deals with a procedure for retrieving Fresnel reflection coefficients of a half‐space medium starting from measurements collected under a reflection mode multistatic configuration. In particular, the procedure consists in inverting a linear integral operator that links the reflected field measurements and the Fresnel reflection coefficients. This contribution extends our previous work already developed for 2D scalar configurations. Here, we consider a 3D source and accordingly a dyadic representation of the reflection coefficient. Accordingly, the corresponding inverse problem amounts to solving a vector problem with a dyadic unknown. The amount of data necessary to solve the inverse problem is achieved by collecting different Cartesian components of the reflected field. Accordingly, the reconstruction problem is cast as the inversion of several scalar integral equations, which provides the transverse electric and magnetic Fresnel reflection coefficients as functions of the angle of incidence. Synthetic examples dealing with the case of a homogeneous half‐space soil are presented to show the effectiveness of the proposed procedure.